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Finding the Fourth Proportional to 412,214.40, 618,321.60 and 342,230.40

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Solution

The fourth proportional to 412,214.40, 618,321.60 and 342,230.40 is: 513,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,214.40 : 618,321.60 = 342,230.40 : x
  2. Step 2: Convert to fraction form
    412,214.40/618,321.60 = 342,230.40/x
  3. Step 3: Cross multiply
    412,214.40x = 618,321.60 × 342,230.40
  4. Step 4: Simplify right side
    412,214.40x = 211,608,448,496.64
  5. Step 5: Solve for x
    x = 211,608,448,496.64/412,214.40
  6. Step 6: Final answer
    x = 513,345.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.